Solvability of Navier-Stokes equations with leak boundary conditions

被引：0
|
作者：
Rong An
Yuan Li
Kai-tai Li
机构：
[1] Wenzhou University,College of Mathematics and Information Science
[2] Xi’an Jiaotong University,School of Science
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2009年 / 25卷
关键词：
Navier-stokes equations; leak boundary; variational inequalities; solvability; continuous dependence; 35Q30; 76D05;
D O I：
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中图分类号：
学科分类号：
摘要：
The time-dependent Navier-Stokes equations with leak boundary conditions are investigated in this paper. The equivalent variational inequality is derived, and the weak and strong solvabilities of this variational inequality are obtained by the Galerkin approximation method and the regularized method. In addition, the continuous dependence property of solutions on given initial data is established, from which the strong solution is unique.
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页码：225 / 234
页数：9
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